Implement forward and inverse Möbius inversion for color-space seed recovery.
npx skills add https://github.com/plurigrid/asi --skill m-bius-color-duality
Please help me install this Agent Skill. Skill: möbius-color-duality Source: https://github.com/plurigrid/asi/tree/main/skills/möbius-color-duality Command: npx skills add https://github.com/plurigrid/asi --skill m-bius-color-duality
Möbius inversion recovers local structure from global color aggregates, enabling forward color generation to be inverted back to seed representations. This skill closes the sparsification gap in Gay.jl color modeling by enabling duality between generation and inversion.
Run the Möbius inversion module on a generated color distribution to recover the original seed.
High-intent search queries and answers about installing and using this skill.
Möbius inversion recovers original seed representations from generated color distributions by reversing the forward generation process. Apply the inverse Möbius method to color indices to extract the seed structure, enabling seed recovery workflows in color-space analysis.
Möbius inversion is a mathematical technique that closes the gap between forward color generation and backward inversion. It enables bidirectional transformation between seeds and color structures, maintaining duality across generation, validation, and verification tasks in color spaces.
Yes. The Skill supports GF(3) integration for ternary color spaces, maintaining triad conservation during forward and inverse operations. This enables color-duality workflows while preserving ternary structure constraints.
Sparsification support in Möbius inversion improves interpretability of global-to-local color mappings by reducing complexity in color-space representations. Spine analysis reveals which seed elements drive aggregate color distributions, clarifying the inversion pathway.
You need Python and understanding of color-space representations, forward and backward Möbius methods, and contravariant functor structures. The Skill implements lib/gay_möbius_inversion.py for GF(3) color validation and seed recovery workflows.
Use Möbius inversion when you need to recover seeds from generated color aggregates or validate bidirectional consistency between generation and inversion. It's essential for sparsification workflows where local structure recovery from global distributions is required.
plurigridAutomate self-validation loops for triadic color systems comparing predictions against observations.
Lord1EgyptGenerate protein sequences and embeddings using ESM3 and ESM C.
parcadeiVerify category axioms and functor properties using Lean 4.
K-Dense-AIPerform geospatial analysis on vector data with GeoPandas in Python.
